Nové horizonty ve zpětné reakci
| Thesis title in Czech: | Nové horizonty ve zpětné reakci |
|---|---|
| Thesis title in English: | New horizons in back-reaction |
| Key words: | záření|gravitační vlny|zpětná reakce|černé díry|gravitace|obecná teorie relativity|teorie pole |
| English key words: | radiation|gravitational waves|back-reaction|black holes|gravitation|general relativity|field theory |
| Academic year of topic announcement: | 2022/2023 |
| Thesis type: | dissertation |
| Thesis language: | čeština |
| Department: | Institute of Theoretical Physics (32-UTF) |
| Supervisor: | Dr. rer. nat. Mgr. Vojtěch Witzany |
| Author: | hidden - assigned and confirmed by the Study Dept. |
| Date of registration: | 07.09.2023 |
| Date of assignment: | 07.09.2023 |
| Confirmed by Study dept. on: | 27.09.2023 |
| Guidelines |
| The PhD student should:
1) Gain an understanding of the broader problem of radiation-reaction in field theory, and its importance for the current state of the art of gravitational-wave modeling. This should be achieved by studying the provided list of references, independently researching the literature, attending elective courses at Charles U., and by consultations with the supervisor. 2) Work on various analytical, semi-analytical, and numerical solutions of orbital motion and scattering of tests particles and bodies of finite mass or charge (that is, with back-reaction) in various set-ups in field theories such as gravity, electromagnetism, and Yang-Mills theory. 3) Examine and, where applicable, derive the fundamental equations of motion in the situations listed in 2) by the method of matched asymptotic expansions, or effective renormalization/regularization methods analogous to quantum field theory. 4) Try to use these results as well as the fundamental field equations to derive analogies or even quantitative dualities between the field theories listed in 2). |
| References |
| [1] Poisson, E., & Will, C. M. (2014). Gravity: Newtonian, post-newtonian, relativistic. Cambridge University Press.
[2] Barack, L., & Pound, A. (2018). Self-force and radiation reaction in general relativity. Reports on Progress in Physics, 82(1), 016904. [3] Poisson, E., Pound, A., & Vega, I. (2011). The motion of point particles in curved spacetime. Living Reviews in Relativity, 14(1), 1-190. [4] Bern, Z., Carrasco, J. J., Chiodaroli, M., Johansson, H., & Roiban, R. (2019). The duality between color and kinematics and its applications. arXiv preprint arXiv:1909.01358. [5] Plebański, J. F. (1977). On the separation of Einsteinian substructures. Journal of Mathematical Physics, 18(12), 2511-2520. |
| Preliminary scope of work in English |
| A body of finite mass moving in an ambient space-time will never move on a geodesic of said space-time; it will perturb the space-time, and this will back-react on its motion. In many physical settings this leads to the emission of gravitational waves and a merger of the components of the system. Similarly, a charge moving in an electromagnetic field or a color-charge moving in a Yang-Mills field will never quite move as a test particle; it will also back-react on its own motion. All these effects are also known as self-force [1].
The aim of this project will be to investigate various field-theoretical setups with back-reaction and see what we can learn from them about the field theories. Ultimately, we will aim to derive results useful for gravitational-wave science. The direction of the project can be to investigate the structure and meaning of the Bern-Carrasco-Johansson double copy [2], to build electromagnetic analogues of gravitational-wave inspirals into black holes, or focus on issues in the gravitational equations of motion [1]. The ideal candidate for this project should have a strong background in relativity and relativistic field theory, and a rudimentary understanding of gauge theories and renormalization in quantum field theory. Experience with symbolic computations (Mathematica) and efficient numerical coding (C/C++, Julia, …) will also be a strong advantage. |